White male, would really, really like to get into UPenn. Anyone think that is reasonable? Also, thinking about applying to Georgetown, Cornell, Duke, Vanderbilt, Michigan, Berkeley. What ARE my chances?!

So hundreds of real application cycles aren't of interest to you but anecdotal anonymous opinions are? LSN is as good a reference as anyone has. Otherwise consult the schools' websites and compare to medians. You would have had a decent shot at those schools early in the cycle. Penn is a reach with sub 170. Your chances are hurt applying late.